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Maths · Grade 6 · Set B
How Many Fit? Turn It Over
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B
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Goal: 15 min
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Remember: To divide by a fraction, turn it over and multiply.

Dividing by a fraction

1
The bar shows 4/5 of a gallon of paint. Each can holds 1/5 gallon. How many cans can you fill?
2
The bar shows 3/5 of a pan, cut in tenths. Each serving is 1/10 of the pan. 3/5 ÷ 1/10 = servings
3
2/3 ÷ 1/9 =
4
Turn it over and multiply. Which is the same as 3/4 ÷ 2/5?
3/4 × 2/54/3 × 2/53/4 × 5/2
5
3/4 ÷ 2/5 = (write an improper fraction)
6
5/6 ÷ 1/2 = (write it in lowest terms)
7
2/3 ÷ 4/3 is bigger than 2/3.
TrueFalse
8
A ribbon 5/6 yard long is cut into 4 equal pieces. How long is each piece, in yards? Write a fraction.
9
The bar shows 6/8 of a pizza shared equally by 3 friends. How much does each friend get? Write it in lowest terms.
10
Join each division to its answer.
  1. 11/3 ÷ 1/6
  2. 21/2 ÷ 1/10
  3. 32/3 ÷ 1/12
  4. 43/5 ÷ 1/5
  • A5
  • B3
  • C8
  • D2
11
Number the steps to divide 3/8 by 2/3.
  • Write the answer, 9/16
  • Turn 2/3 over to make 3/2
  • Write 3/8 ÷ 2/3
  • Multiply the tops, 3 × 3, and the bottoms, 8 × 2
12
Pip has 3/4 cup of paint. Each picture uses 3/8 cup. How many pictures can Pip paint?
13
Sensei says 2/3 ÷ 1/4 = 1/6, because he multiplied 2/3 × 1/4 straight across. Write what he did wrong and what the answer should be.
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Answer key · Set B
How Many Fit? Turn It Over
14 4/5 is 4 fifths, and each can is 1 fifth. So 4 cans.
26 3/5 is 6/10, and each serving is 1/10. So 6 servings.
36 Turn 1/9 over and multiply: 2/3 × 9 = 18/3 = 6.
43/4 × 5/2 Dividing by 2/5 is the same as multiplying by its flip, 5/2.
515/8 3/4 × 5/2 = 15/8, which is 1 and 7/8.
65/3 5/6 × 2 = 10/6, and 10/6 in lowest terms is 5/3.
7False Dividing by a fraction greater than 1 makes the answer smaller. 2/3 ÷ 4/3 = 2/3 × 3/4 = 1/2.
85/24 5/6 ÷ 4 = 5/6 × 1/4 = 5/24.
91/4 6/8 ÷ 3 = 6/8 × 1/3 = 6/24, which is 1/4 in lowest terms.
101-D, 2-A, 3-C, 4-B Ask how many of the second fraction fit into the first.
114, 2, 1, 3 Flip only the fraction you are dividing by.
122 3/4 ÷ 3/8 = 3/4 × 8/3 = 24/12 = 2.
13Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.